Exercise 26.7. Let A = {1,2,3} and let f: A→ A be given asf = {(1,2), (2, 3), (3, 1)}.26. COMPOSITION OF FUNCTIONS(a) Determine f-¹.(b) Determine fof.(c) Determine fofof.(d) Define205f" = fo... of.n timesThen f¹ = f, f2 = fof, and f3 = fofof, and so forth. Determine f", as acollection of ordered pairs, for each natural number n.

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Answered: Exercise 26.7. Let A = {1,2,3} and let…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 30EQ

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Exercise 26.7. Let A = {1,2,3} and let f: A→ A be given as f = {(1,2), (2,3), (3, 1)}. 26. COMPOSITION OF FUNCTIONS (a) Determine f-¹. (b) Determine fof. (c) Determine fofof. 205